The yang-baxter equation, quantum computing and quantum entanglement

Fabienne Chouraqui

doi:10.1088/1402-4896/ad7e57

The yang-baxter equation, quantum computing and quantum entanglement

Fabienne Chouraqui

Department of Mathematics, Physics and Computer Science (Oranim Campus)

Research output: Contribution to journal › Article › peer-review

Abstract

We present a method to construct infinite families of entangling (and primitive) 2-qudit gates, and amongst them entangling (and primitive) 2-qudit gates which satisfy the Yang-Baxter equation. We show that, given 2-qudit gates c and d, if c or d is entangling, then their Tracy-Singh product c ⊠ d is also entangling and we can provide decomposable states which become entangled after the application of c ⊠ d.

Original language	English
Article number	115215
Journal	Physica Scripta
Volume	99
Issue number	11
DOIs	https://doi.org/10.1088/1402-4896/ad7e57
State	Published - 1 Nov 2024

Bibliographical note

Publisher Copyright:
© 2024 IOP Publishing Ltd. All rights, including for text and data mining, AI training, and similar technologies, are reserved.

Keywords

R-matrices
Tracy-Singh product
Yang-Baxter equation
entangling gate
quantum computing
symmetric monoidal categories

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Mathematical Physics
Condensed Matter Physics

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10.1088/1402-4896/ad7e57

Cite this

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The yang-baxter equation, quantum computing and quantum entanglement

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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